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A330659
The number of free polyiamonds with n cells on an order-7 triangular tiling of the hyperbolic plane.
4
1, 1, 1, 1, 3, 4, 12, 27, 78, 208, 637, 1870, 5797, 17866, 56237, 177573, 566904, 1818527, 5874180, 19065038
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OFFSET
0,5
COMMENTS
This gives the number of polyforms with n cells in the hyperbolic tiling with Schläfli symbol {3,7}.
This sequence is computed from via program by
Christian Sievers
in the Code Golf Stack Exchange link.
LINKS
Table of n, a(n) for n=0..19.
Code Golf Stack Exchange,
Impress Donald Knuth by counting polyominoes on the hyperbolic plane
Wikipedia,
Order-7 triangular tiling
Wikipedia,
Polyiamond
PROG
Several working programs are available via the Code Golf link.
CROSSREFS
Analogs with different Schläfli symbols are
A000207
({3,oo}),
A000577
({3,6}),
A005036
({4,oo}), and
A119611
({4,5}).
Sequence in context:
A000942
A255436
A197459
*
A393722
A000207
A002986
Adjacent sequences:
A330656
A330657
A330658
*
A330660
A330661
A330662
KEYWORD
nonn
,
more
AUTHOR
Peter Kagey
, Mar 01 2020
EXTENSIONS
a(11)-a(19) from
Ed Wynn
, Feb 14 2021
STATUS
approved